Results 11 to 20 of about 519,621 (251)
A study of resolvent set for a class of band operators with matrix elements
Concrete Operators, 2016 For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations.
Osipov Andrey
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Resolvent expansions of 3D magnetic Schrödinger operators and Pauli operators [PDF]
Journal of Mathematical Physics, 2023 We obtain asymptotic resolvent expansions at the threshold of the essential spectrum for magnetic Schrödinger and Pauli operators in dimension three. These operators are treated as perturbations of the Laplace operator in L2(R3) and L2(R3;C2), respectively.
Arne Jensen, Hynek Kovařík
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Schrödinger operators with δ and δ′-potentials supported on hypersurfaces [PDF]
, 2013 Self-adjoint Schrödinger operators with δ and δ′-potentials supported on a smooth compact hypersurface are defined explicitly via boundary conditions.
Lotoreichik, Vladimir +2 more
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Zero-threshold resolvent asymptotics of three-body Schrödinger operators [PDF]
, 2011 International audienceWe analyze the spectral properties for three-body Schrödinger operators at the threshold zero and give some results on the asymptotics of resolvent under the condition that zero is a regular point for all two-body ...
Wang, Xue Ping
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Generalized monotone operators and their averaged resolvents [PDF]
Mathematical Programming, 2020 The correspondence between the monotonicity of a (possibly) set-valued operator and the firm nonexpansiveness of its resolvent is a key ingredient in the convergence analysis of many optimization algorithms. Firmly nonexpansive operators form a proper subclass of the more general - but still pleasant from an algorithmic perspective - class of averaged ...
Heinz H. Bauschke +2 more
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Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators [PDF]
, 2013 In this note self-adjoint realizations of second order elliptic differential expressions with non-local Robin boundary conditions on a domain Ω⊂Rn with smooth compact boundary are studied. A Schatten--von Neumann type estimate for the singular values of
Lotoreichik, Vladimir +2 more
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Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces
Mathematics, 2019 The resolvent is a fundamental concept in studying various operator splitting algorithms. In this paper, we investigate the problem of computing the resolvent of compositions of operators with bounded linear operators.
Yixuan Yang, Yuchao Tang, Chuanxi Zhu
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Abstract Impulsive Volterra Integro-Differential Inclusions
Fractal and Fractional, 2023 In this work, we provide several applications of (a, k)-regularized C-resolvent families to the abstract impulsive Volterra integro-differential inclusions.
Wei-Shih Du +2 more
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Boundary Value Problems, 2020 In this paper we consider singular Sturm–Liouville problems with eigenparameter dependent boundary conditions and two singular endpoints. The spectrum of such problems can be approximated by those of the inherited restriction operators constructed.
Maozhu Zhang, Kun Li, Hongxiang Song
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Resonance fluorescence in the resolvent-operator formalism [PDF]
Physical Review A, 2017 The Mollow spectrum for the light scattered by a driven two-level atom is derived in the resolvent operator formalism. The derivation is based on the construction of a master equation from the resolvent operator of the atom-field system. We show that the natural linewidth of the excited atomic level remains essentially unmodified, to a very good level ...
Debierre, V., Harman, Z.
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